41168160 has 288 divisors, whose sum is σ = 161336448. Its totient is φ = 9461760.

The previous prime is 41168147. The next prime is 41168167. The reversal of 41168160 is 6186114.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (41168167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364264 + ... + 364376.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 2^41168160 is an apocalyptic number.

41168160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

41168160 is an abundant number, since it is smaller than the sum of its proper divisors (120168288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41168160 is a wasteful number, since it uses less digits than its factorization.

41168160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41168160 is about 6416.2418907021. The cubic root of 41168160 is about 345.2925055546.

It can be divided in two parts, 41168 and 160, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 41168160 in words is "forty-one million, one hundred sixty-eight thousand, one hundred sixty".